Question

Please help me with these two questions, and show the steps.
This is Factoring Trinomials completely.

1. 18v^2-15v-18 and 2. -7w^2-25w-12

Answer 1

Step-by-step explanation:

First separate out the common scalar factor

3

, then use an AC method...

18x2−15x−18=3(6x2−5x−6)

To factor 6x2−5x−6

first look for a pair of factors of AC=6⋅6=36

which differ by B=5

.

The pair 9,4 works.

Use this pair to split the middle term and factor by grouping:

6x2−5x−6=(6x2−9x)+(4x−6)

6x2−5x−6=3x(2)+2(2x−3)

6x2−5x−6=(3x+2)(2x−3

Putting it all together:18x²−15x−18=3(3x+2)(2x−3)